# Significant Figures Calculations

I am confused regarding significant figures. Consider "Calculate the volume of 2.8 kg of liquid with density of 1.11 g/cm^3"

Then, Volume = 2.8 kg * (cm^3 / 1.11 g) = 2522.522 (where 522 is recurring).

Since the original figure (2.8 kg) has only two significant figures, I thought the answer should be 2.5 kg.

The textbook says the answer is 2.523 kg, which is four significant figures.

Which is correct?

• And then also, the answer should be given as $2.5 \cdot 10^{3}$. – Jan Jun 13 '16 at 13:34
Your answer of $2500$ and the book's answer of $2523$ both have four significant figures.
If you want to keep your answer to the same degree of accuracy as the given data with the least number of significant figures, i.e. $2.8$ kg, it is best to express your answer as $2.5\times10^{3}$.